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The ladder operators for one dimensional quantum harmonic oscillator wereconstructed by Schr\"odinger in 1940s. We extend this method to a twodimensional uniform magnetic field and establish the ladder operators whichdepend on all spatial variables of quantum system. The Hamiltonian of quantumsystem can also be written by the velocity of the particle.

Ladder operators depending on all variables for a charged particle moving in a two-dimensional uniform magnetic field